Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in each packet. If Rosy uses all of the pencils and erasers, what is the maximum number of packets she can make?

A.
2
B.
4
C.
8
D.
48

Answer:

the amount of calories depends on the minutes of exercise so c is the dependent variable and m is the independent variable

Answer:

0.477%

6.55%

5.05%

Event in question (a)

Step-by-step explanation:

Given that:

p = 0.67 ; n = 80

Using Normal approximation :

Mean (m) = np = 80 * 0.67 = 53.6

Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057

probability that the number who oppose raising the age is

(a) at least 65

65 - 0.5 = 64.5 = x

Z = (x - m) / s

Z = (64.5 - 53.6) / 4.2057 = 2.592

P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)

(b) exactly 50

x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5

Z = (50.5 - 53.6) / 4.2057 = - 0.737

Z = (49.5 - 53.6) / 4.2057 = - 0.974

P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)

0.23056 - 0.16503 = 0.06553

(c) more than 60, and (d) identify any unusual events

x = 60 + 0.5 = 60.5

Z = (60.5 - 53.6) / 4.2057 = 1.64

P(Z > 1.64) = 0.0505

D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%

Answer :

R = 6.25%

Solution,

Let P is the principal. It means interest will be :

I=3/8 P

The formula for the interest is given by :

[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]

Hence, the rate of interest is 6.25%.

Answer:

10 hours

Step-by-step explanation:

24kg dough/6 hours = 4kg dough/hour

4kg dough / 1 hour

*10                *10        (multiply both sides by 10)

---------------------------

40kg dough/10hrs

Answer:

58º

Step-by-step explanation:

The sum of a triangle's interior angles is 180º. We know two interior angles, and we can solve from there: 180-(65+57)=180-65-57=180-180-122=58.

Answer:

2.25 or 2 1/4 pounds

Step-by-step explanation:

if you add them all up (I converted them to decimals when adding) you get 13.5 or 13 1/2 if your using fractions, then you divide that by 6 because thats how many jars there are and you get 2.25 or 2 1/4

Answer:

Ok thats really cool thanks :)

Answer:

x= 15 and y= 11

Step-by-step explanation:

The goal here is to solve

x + y =26 and

3x + y =56 for the variables x and y.

First, let's work on your first equation, x + y =26

After this initial survey of the equations, the system of equations we'll set out to solve is:

x+y = 26 and 3x+y = 56

Let's start by solving x+y = 26 for the variable x.

Move the y to the right hand side by subtracting y from both sides, like this:

From the left hand side:

y - y = 0

The answer is x

From the right hand side:

The answer is 26-y

Now, the equation reads:

x = 26-y

To isolate the x, we have to divide both sides of the equation by the other variables

around the x on the left side of the equation.

and this is the final solution to your equation.

Next, let's solve 3x+y = 56 for the variable y.

Move the 3x to the right hand side by subtracting 3x from both sides, like this:

From the left hand side:

3x - 3x = 0

The answer is y

From the right hand side:

The answer is 56-3x

Now, the equation reads:

y = 56-3x

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

and this is the final solution to your equation.

Now, plug the earlier result, x=26-y, in for x everywhere it occurs in

y=56-3x.

This gives y=56-3(26-y). Now all we have to do is solve this for y,to have our first solution.

26-y evaluates to 26-y

Multiply 3 by 26-y

we multiply 3 by each term in 26-y term by term.

This is the distributive property of multiplication.

Multiply 3 and 26

1

3 × 26 = 78

Multiply 3 and -y

Multiply 1 and y

The y just gets copied along.

y

3 × -y = -3y

3*(26-y) evaluates to 78-3y

56 - 78 = -22

The answer is -22+3y

56-3*(26-y) evaluates to -22+3y

Move the 3y to the left hand side by subtracting 3y from both sides, like this:

From the left hand side:

y - 3y = -2y

The answer is -2y

From the right hand side:

3y - 3y = 0

The answer is -22

Now, the equation reads:

-2y = -22

To isolate the y, we have to divide both sides of the equation by the other variables

around the y on the left side of the equation.

The last step is to divide both sides of the equation by -2 like this:

To divide y by 1

The y just gets copied along in the numerator.

The answer is y

-2y ÷ -2 = y

-22 ÷ -2 = 11

The solution to your equation is:

y = 11

Lastly, to find the solution for x, we plug this answer for y into the earlier result that

x=26-y.

This gives x=26-(11). Now, simplify this.

26-(11) evaluates to 15

x= 15

So, the solutions to your equations are:

x= 15 and y= 11

Answer:

(15, 11 )

Step-by-step explanation:

Given the 2 equations

x + y = 26 → (1)

3x + y = 56 → (2)

Subtract (1) from (2) term by term to eliminate y, that is

2x = 30 ( divide both sides by 2 )

x = 15

Substitute x = 15 into either of the 2 equations and solve for y

Substituting into (1)

15 + y = 26 ( subtract 15 from both sides )

y = 11

solution is (15, 11 )

Answer:

x = 4

Step-by-step explanation:

Hope this helps! Consider Brainiest! <3

Answer:

The value of μ will be "0.82".

Step-by-step explanation:

The given question is incomplete. Please find attachment of the complete question below.

The given three random samples are 0.8, 0.95 and 0.7.

Now,

⇒ [tex]\mu=\frac{\bar{x_1}+\bar{x_2}+\bar{x_3}}{3}[/tex]

On substituting the estimated values, we get

⇒    [tex]=\frac{0.8+0.95+0.7}{3}[/tex]

⇒    [tex]=\frac{2.45}{3}[/tex]

⇒    [tex]=0.82[/tex]

It will not rational here, considering the equivalent significance, since the sampling amount for sample 3 becomes somewhat big 200.

Answer: C

Step-by-step explanation: The group of two or more fractions that have exactly the same denominator are called like fractions. ... For example, 1/7, 2/7, 5/7, 6/7 are all like fractions, whose denominators equal to 7.

Answer:

I it is the one on the bottom.

Step-by-step explanation:

Answer:

6.oz I will ply to get a

Step-by-step explanation:

ok is the only

Answer:

Step-by-step explanation:

9(67)=9(70-3)=

Answer:

13

Step-by-step explanation:

125 - 60= 65

65/5= 13

itll take her 13 weeks

Answer:

10 days

Step-by-step explanation:

Write an equation where both sides equal the same thing, using x as the variable for the amount of days

100-3x=20+5x

100-20=3x+5x

80=8x

x=10

Answer:

12/6 2 is the best answer

Answer:

48.7 I think

Step-by-step explanation:

hears the sender buddy

Answer:

48.5 the 7 is close to 10 so it rounds the 4 to 5

Answer:

A, E, And D

Step-by-step explanation:

i did the quiz :)

Answer:

133 1/3 %

Step-by-step explanation:

24/18 = 4/3

4/3 * 100 = 133 1/3 %

Missed that 1/3

Answer:

Step-by-step explanation:

24 is x% of 18, solving for x:

Answer: 1593 us gallons

Step-by-step explanation: HOPE THIS HELPS!!

Answer:

Step-by-step explanation:

The slope of the line is 2 and the y-intercept is -6. y-intercept is the point where x is zero. Hence, the point is (0,-6) When we graph a linear function by slope-intercept method, first of all we plot the y-intercept. Hence, first of all we plot the point (0,-6) Now, slope is given by if rise is positive then we move up from the y -intercept and if negative then move down. We keep run always positive and hence we move right from the rise point. rise = 2 run = 1 Rise is positive hence, we move 2 units up from the point (0,-6) and then move 1 unit right to get the next point. Then we draw a line passing through these points. A is the correct option.

Answer:

A

Step-by-step explanation:

Answer:

8 Batches

Step-by-step explanation:

Simple. Since it takes 2/3 of a cup for one batch, we divide 5 1/3 by 2/3, wich equals 8.

Answer:

Concept: Engineering Statistics

The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.

Given that, there are 32 desks in a room.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Now, x represents the number of rows of desks.

The number of desks in each row = Total number of desks in a room / The number of rows of desks

= 32/x

The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.

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Answer:

2nd one

Step-by-step explanation:

Answer:

The building is 61.5 m tall

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x  = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

[tex]\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 53^\circ=\frac{150-x}{h}[/tex]

[tex]\displaystyle \tan 48^\circ=\frac{x}{h}[/tex]

From the last equation:

[tex]x=h.\tan 48^\circ[/tex]

Substituting into the first equation:

[tex]\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}[/tex]

Operating on the right side:

[tex]\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ[/tex]

Rearranging:

[tex]\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}[/tex]

Solving for h:

[tex]\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}[/tex]

Calculating:

h = 61.5 m

The building is 61.5 m tall

Answer:

2

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (7 - 3)/(4 - 2)

slope = 4/2 = 2

Answer: 2

An equation that represents the relationships between the time x and the distance y is y = 40x.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

An eagle flies 40 miles per hour.

An equation that represents the relationships between the time x and the distance y:

Here, x and y are the variables.

So, the equation,

y = 40x.

Therefore, y = 40x is the required equation.

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